F(x) = x² - 1
f(2a) = 35
f(2a) = (2a)² - 1 = 35
4a² - 1 = 35
4a² = 35 + 1
4a² = 36
a² = 36/4
a² = 9
a = √9
a = +3 or -3.
Answer:
The answer to your question is letter B
Step-by-step explanation:
Process
1.- Write the function
f(x) = - 2x² + 2x - 3
Find f(5)
2.- Substitute x for 5
f(5) = -2(5)⁵ + 2(5) - 3
3.- Simplify
f(5) = -2(25) + 10 - 3
f(5) = -50 + 7
f(5) = -43
970 is 973 rounded to the nearest ten
Answer:
(- 2, 10 )
Step-by-step explanation:
A translation to the right of 4 units means add 4 to the x- coordinate.
A translation up 2 units means add 2 to the y- coordinate, that is
(- 6, 8 ) → (- 6 + 4, 8 + 2 ) → (- 2, 10 )
The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
<h3>What is relative frequency?</h3>
The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.
Given information-
The card is selected random from the deck of cards.
Total number of trails is 40.
It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.
As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,

In the percentage from,

Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
Learn more about the relative frequency here;
brainly.com/question/26177128